148:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 4:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorización de binomios:@0.305293:0.083059:0.647002:0.083059:0.647002:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la factorización, al igual que en aritmética, no todo polinomio se puede des-:@0.304744:0.259479:0.903142:0.259479:0.903142:0.243810:0.304744:0.243810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
componer en un producto indicado de dos o más factores distintos de 1; hay ex-:@0.304744:0.276076:0.903089:0.276076:0.903089:0.260406:0.304744:0.260406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presiones algebraicas que solo son divisibles por la unidad y por ellas mismas; en :@0.304744:0.292672:0.907125:0.292672:0.907125:0.277002:0.304744:0.277002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consecuencia, no son el producto de otras expresiones algebraicas. Así,   +   no :@0.304744:0.309268:0.907121:0.309268:0.907121:0.293599:0.304744:0.293599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.839012:0.309268:0.848282:0.309268:0.848282:0.292907:0.839012:0.292907:0.000000
b:@0.869179:0.309268:0.878448:0.309268:0.878448:0.292907:0.869179:0.292907:0.000000
se puede descomponer en dos factores distintos de 1 porque solo es divisible por :@0.304744:0.325865:0.907123:0.325865:0.907123:0.310195:0.304744:0.310195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.304744:0.342461:0.314013:0.342461:0.314013:0.326100:0.304744:0.326100:0.000000
 +   y por la unidad.:@0.314013:0.342461:0.459202:0.342461:0.459202:0.326791:0.314013:0.326791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.333067:0.342461:0.342336:0.342461:0.342336:0.326100:0.333067:0.326100:0.000000
La red de comunicación celular comprende algunos elementos, entre ellos, el de :@0.304744:0.366180:0.907178:0.366180:0.907178:0.350510:0.304744:0.350510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acceso al público (el teléfono celular). En el diseño de un teléfono celular se ha :@0.304744:0.382776:0.907141:0.382776:0.907141:0.367107:0.304744:0.367107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
considerado la expresión :@0.304744:0.400382:0.492868:0.400382:0.492868:0.384713:0.304744:0.384713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.516057:0.399804:0.526174:0.399804:0.526174:0.384231:0.516057:0.384231:0.000000
x:@0.497420:0.399126:0.504883:0.399126:0.504883:0.382765:0.497420:0.382765:0.000000
y:@0.530405:0.399126:0.537887:0.399126:0.537887:0.382765:0.530405:0.382765:0.000000
2:@0.506528:0.391465:0.511740:0.391465:0.511740:0.382384:0.506528:0.382384:0.000000
2:@0.539507:0.391465:0.544718:0.391465:0.544718:0.382384:0.539507:0.382384:0.000000
 para representar el área de su parte rectangular :@0.548618:0.400384:0.907119:0.400384:0.907119:0.384714:0.548618:0.384714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frontal. ¿Es posible encontrar una expresión que represente su largo y otra que :@0.304747:0.416980:0.907075:0.416980:0.907075:0.401310:0.304747:0.401310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
represente su ancho?:@0.304747:0.433576:0.461362:0.433576:0.461362:0.417907:0.304747:0.417907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si recordamos los productos notables, observaremos que cuando multiplicamos :@0.304747:0.457295:0.907067:0.457295:0.907067:0.441626:0.304747:0.441626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de dos términos por su diferencia, obtenemos la diferencia de sus cuadra-:@0.304747:0.473892:0.903100:0.473892:0.903100:0.458222:0.304747:0.458222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos. Como la factorización es un proceso contrario a la multiplicación, podemos :@0.304747:0.490488:0.907049:0.490488:0.907049:0.474818:0.304747:0.474818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir que::@0.304747:0.507085:0.377168:0.507085:0.377168:0.491415:0.304747:0.491415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.327463:0.534007:0.337580:0.534007:0.337580:0.518434:0.327463:0.518434:0.000000
x:@0.308826:0.533329:0.316289:0.533329:0.316289:0.516968:0.308826:0.516968:0.000000
y:@0.341812:0.533329:0.349293:0.533329:0.349293:0.516968:0.341812:0.516968:0.000000
2:@0.317936:0.525667:0.323148:0.525667:0.323148:0.516586:0.317936:0.516586:0.000000
2:@0.350915:0.525667:0.356127:0.525667:0.356127:0.516586:0.350915:0.516586:0.000000
   :@0.360027:0.539616:0.379081:0.539616:0.379081:0.523946:0.360027:0.523946:0.000000:0.000000:0.000000
=:@0.364062:0.534582:0.375045:0.534582:0.375045:0.518912:0.364062:0.518912:0.000000
(:@0.381279:0.537136:0.387415:0.537136:0.387415:0.516735:0.381279:0.516735:0.000000
)(:@0.424842:0.537136:0.437411:0.537136:0.437411:0.516735:0.424842:0.516735:0.000000:0.000000
):@0.474837:0.537136:0.480974:0.537136:0.480974:0.516735:0.474837:0.516735:0.000000
+:@0.400963:0.535264:0.411080:0.535264:0.411080:0.519692:0.400963:0.519692:0.000000
−:@0.450957:0.535264:0.461074:0.535264:0.461074:0.519692:0.450957:0.519692:0.000000
xy xy:@0.389603:0.534587:0.472787:0.534587:0.472787:0.518226:0.389603:0.518226:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.480317:0.534587:0.483524:0.534587:0.483524:0.518917:0.480317:0.518917:0.000000
Por lo tanto, diremos que la expresión que representa al largo es   + :@0.304739:0.563340:0.804415:0.563340:0.804415:0.547670:0.304739:0.547670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.777898:0.563340:0.785361:0.563340:0.785361:0.546979:0.777898:0.546979:0.000000
y:@0.804415:0.563340:0.811897:0.563340:0.811897:0.546979:0.804415:0.546979:0.000000
 y la que representa al ancho es (  –  .:@0.304739:0.587059:0.583805:0.587059:0.583805:0.571389:0.304739:0.571389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y):@0.543485:0.587059:0.580599:0.587059:0.580599:0.570698:0.543485:0.570698:0.000000:0.000000:0.000000:0.000000
La diferencia de dos cuadrados perfectos es igual a dos factores: uno formado por :@0.315916:0.637067:0.894581:0.637067:0.894581:0.621397:0.315916:0.621397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de sus raíces cuadradas, y el otro, por la diferencia de esas raíces.:@0.315916:0.653663:0.845668:0.653663:0.845668:0.637993:0.315916:0.637993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.551538:0.676971:0.561554:0.676971:0.561554:0.661554:0.551538:0.661554:0.000000
=:@0.583975:0.676971:0.593991:0.676971:0.593991:0.661554:0.583975:0.661554:0.000000
+:@0.614821:0.676971:0.624836:0.676971:0.624836:0.661554:0.614821:0.661554:0.000000
−:@0.660283:0.676971:0.670299:0.676971:0.670299:0.661554:0.660283:0.661554:0.000000
a:@0.532361:0.676300:0.541537:0.676300:0.541537:0.660103:0.532361:0.660103:0.000000
b:@0.564286:0.676300:0.573463:0.676300:0.573463:0.660103:0.564286:0.660103:0.000000
ab ab:@0.602853:0.676300:0.682193:0.676300:0.682193:0.660103:0.602853:0.660103:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.596833:0.676300:0.601667:0.676300:0.601667:0.660075:0.596833:0.660075:0.000000
)(:@0.637734:0.676300:0.647111:0.676300:0.647111:0.660075:0.637734:0.660075:0.000000:0.000000
):@0.683178:0.676300:0.688013:0.676300:0.688013:0.660075:0.683178:0.660075:0.000000
2:@0.542107:0.668725:0.547266:0.668725:0.547266:0.659322:0.542107:0.659322:0.000000
2:@0.574037:0.668725:0.579197:0.668725:0.579197:0.659322:0.574037:0.659322:0.000000
Ejemplo 1:@0.304744:0.730489:0.374249:0.730489:0.374249:0.715377:0.304744:0.715377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizar 16:@0.304744:0.762072:0.398457:0.762072:0.398457:0.746402:0.304744:0.746402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.418734:0.762749:0.428850:0.762749:0.428850:0.747176:0.418734:0.747176:0.000000
x:@0.400097:0.762072:0.407560:0.762072:0.407560:0.745710:0.400097:0.745710:0.000000
y:@0.451768:0.762072:0.459249:0.762072:0.459249:0.745710:0.451768:0.745710:0.000000
49:@0.432345:0.762072:0.450128:0.762072:0.450128:0.746402:0.432345:0.746402:0.000000:0.000000
2:@0.409207:0.754411:0.414418:0.754411:0.414418:0.745329:0.409207:0.745329:0.000000
2:@0.460875:0.754411:0.466087:0.754411:0.466087:0.745329:0.460875:0.745329:0.000000
Solución:@0.304744:0.780409:0.365404:0.780409:0.365404:0.765296:0.304744:0.765296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comprobamos que 16:@0.304744:0.811991:0.473811:0.811991:0.473811:0.796322:0.304744:0.796322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.475451:0.811991:0.482914:0.811991:0.482914:0.795630:0.475451:0.795630:0.000000
2:@0.484561:0.804330:0.489772:0.804330:0.489772:0.795249:0.484561:0.795249:0.000000
 y  49:@0.493094:0.811991:0.532640:0.810734:0.532640:0.795064:0.493094:0.796322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.534280:0.810734:0.541762:0.810734:0.541762:0.794373:0.534280:0.794373:0.000000
2:@0.543388:0.803073:0.548600:0.803073:0.548600:0.793992:0.543388:0.793992:0.000000
 :@0.551713:0.817021:0.555748:0.817021:0.555748:0.801351:0.551713:0.801351:0.000000
sean cuadrados perfectos, es decir, calculamos :@0.556872:0.811986:0.907161:0.811986:0.907161:0.796317:0.556872:0.796317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus raíces cuadradas exactas.:@0.304745:0.828583:0.515093:0.828583:0.515093:0.812913:0.304745:0.812913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De 16:@0.304745:0.859853:0.348997:0.858598:0.348997:0.842929:0.304745:0.844183:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.350637:0.858598:0.358100:0.858598:0.358100:0.842237:0.350637:0.842237:0.000000
2:@0.359747:0.850937:0.364959:0.850937:0.364959:0.841856:0.359747:0.841856:0.000000
 es 4  y de 49:@0.368281:0.861113:0.479274:0.859856:0.479274:0.844186:0.368281:0.845443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.388127:0.862371:0.392163:0.862371:0.392163:0.846702:0.388127:0.846702:0.000000
x:@0.406506:0.859856:0.413969:0.859856:0.413969:0.843494:0.406506:0.843494:0.000000
 :@0.454106:0.866148:0.458142:0.866148:0.458142:0.850479:0.454106:0.850479:0.000000
y:@0.480914:0.859856:0.488395:0.859856:0.488395:0.843494:0.480914:0.843494:0.000000
2:@0.490024:0.852195:0.495235:0.852195:0.495235:0.843113:0.490024:0.843113:0.000000
 es 7 .:@0.498346:0.859856:0.547369:0.859856:0.547369:0.844186:0.498346:0.844186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.518193:0.866148:0.522228:0.866148:0.522228:0.850479:0.518193:0.850479:0.000000
y:@0.535054:0.859856:0.542536:0.859856:0.542536:0.843494:0.535054:0.843494:0.000000
Como tales raíces existen, factorizamos aplicando la regla::@0.304750:0.883575:0.727233:0.883575:0.727233:0.867905:0.304750:0.867905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.344269:0.909240:0.354386:0.909240:0.354386:0.893667:0.344269:0.893667:0.000000
=:@0.396456:0.909240:0.406573:0.909240:0.406573:0.893667:0.396456:0.893667:0.000000
+:@0.438239:0.909240:0.448355:0.909240:0.448355:0.893667:0.438239:0.893667:0.000000
−:@0.504246:0.909240:0.514363:0.909240:0.514363:0.893667:0.504246:0.893667:0.000000
x:@0.325632:0.908562:0.333095:0.908562:0.333095:0.892201:0.325632:0.892201:0.000000
y:@0.377303:0.908562:0.384785:0.908562:0.384785:0.892201:0.377303:0.892201:0.000000
x:@0.426874:0.908562:0.434337:0.908562:0.434337:0.892201:0.426874:0.892201:0.000000
y:@0.461315:0.908562:0.468797:0.908562:0.468797:0.892201:0.461315:0.892201:0.000000
x:@0.492893:0.908562:0.500356:0.908562:0.500356:0.892201:0.492893:0.892201:0.000000
y:@0.527334:0.908562:0.534816:0.908562:0.534816:0.892201:0.527334:0.892201:0.000000
16:@0.306210:0.908562:0.323992:0.908562:0.323992:0.892892:0.306210:0.892892:0.000000:0.000000
49:@0.357881:0.908562:0.375663:0.908562:0.375663:0.892892:0.357881:0.892892:0.000000:0.000000
(4:@0.409441:0.908562:0.424865:0.908562:0.424865:0.892892:0.409441:0.892892:0.000000:0.000000
7)(4:@0.450701:0.908562:0.490891:0.908562:0.490891:0.892892:0.450701:0.892892:0.000000:0.000000:0.000000:0.000000
7):@0.516713:0.908562:0.541757:0.908562:0.541757:0.892892:0.516713:0.892892:0.000000:0.000000
2:@0.334741:0.900900:0.339952:0.900900:0.339952:0.891819:0.334741:0.891819:0.000000
2:@0.386409:0.900900:0.391620:0.900900:0.391620:0.891819:0.386409:0.891819:0.000000
Varias frecuencias de :@0.105857:0.536185:0.247748:0.536185:0.247748:0.521940:0.105857:0.521940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondas de radio se usan :@0.105857:0.551272:0.262475:0.551272:0.262475:0.537027:0.105857:0.537027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para la televisión y :@0.105857:0.566360:0.232118:0.566360:0.232118:0.552115:0.105857:0.552115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emisiones de radio FM :@0.105857:0.581448:0.259642:0.581448:0.259642:0.567202:0.105857:0.567202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y AM, comunicaciones :@0.105857:0.596535:0.259677:0.596535:0.259677:0.582290:0.105857:0.582290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
militares, teléfonos :@0.105857:0.611623:0.234178:0.611623:0.234178:0.597378:0.105857:0.597378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
celulares, redes :@0.105857:0.626710:0.210624:0.626710:0.210624:0.612465:0.105857:0.612465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inalámbricas de :@0.105857:0.641798:0.214528:0.641798:0.214528:0.627553:0.105857:0.627553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
computadoras y otras :@0.105857:0.656886:0.254970:0.656886:0.254970:0.642640:0.105857:0.642640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerosas aplicaciones :@0.105857:0.671973:0.268908:0.671973:0.268908:0.657728:0.105857:0.657728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de comunicaciones.:@0.105857:0.687061:0.239288:0.687061:0.239288:0.672816:0.105857:0.672816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138428:0.511674:0.240296:0.511674:0.240296:0.494773:0.138428:0.494773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Red de comunicación:@0.097124:0.394689:0.228326:0.394689:0.228326:0.381869:0.097124:0.381869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Onda de sonido de radio:@0.097124:0.907563:0.246373:0.907563:0.246373:0.894742:0.097124:0.894742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuáles de las expresiones representa la diferencia de dos cuadrados perfectos? :@0.311726:0.166079:0.898160:0.166079:0.898160:0.150410:0.311726:0.150410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.311726:0.212439:0.327242:0.212439:0.327242:0.195303:0.311726:0.195303:0.000000:0.000000
  :@0.327242:0.212439:0.335313:0.212439:0.335313:0.196769:0.327242:0.196769:0.000000:0.000000
−:@0.357458:0.210598:0.367575:0.210598:0.367575:0.195025:0.357458:0.195025:0.000000
a:@0.338294:0.209920:0.347563:0.209920:0.347563:0.193559:0.338294:0.193559:0.000000
b:@0.388288:0.209920:0.397557:0.209920:0.397557:0.193559:0.388288:0.193559:0.000000
27:@0.370339:0.209920:0.388122:0.209920:0.388122:0.194250:0.370339:0.194250:0.000000:0.000000
3:@0.348139:0.202259:0.353351:0.202259:0.353351:0.193178:0.348139:0.193178:0.000000
3:@0.398131:0.202259:0.403342:0.202259:0.403342:0.193178:0.398131:0.193178:0.000000
 :@0.407349:0.212435:0.411384:0.212435:0.411384:0.196765:0.407349:0.196765:0.000000
b) :@0.432337:0.212435:0.452718:0.212435:0.452718:0.195299:0.432337:0.195299:0.000000:0.000000:0.000000
 :@0.452718:0.212435:0.456753:0.212435:0.456753:0.196765:0.452718:0.196765:0.000000
−:@0.489375:0.209341:0.499492:0.209341:0.499492:0.193768:0.489375:0.193768:0.000000
a:@0.470004:0.208663:0.479274:0.208663:0.479274:0.192302:0.470004:0.192302:0.000000
b:@0.515502:0.208663:0.524771:0.208663:0.524771:0.192302:0.515502:0.192302:0.000000
4:@0.460110:0.208663:0.469103:0.208663:0.469103:0.192993:0.460110:0.192993:0.000000
1:@0.504668:0.199701:0.513661:0.199701:0.513661:0.184031:0.504668:0.184031:0.000000
9:@0.503719:0.219154:0.512711:0.219154:0.512711:0.203484:0.503719:0.203484:0.000000
2:@0.479846:0.201002:0.485058:0.201002:0.485058:0.191921:0.479846:0.191921:0.000000
2:@0.525342:0.201002:0.530553:0.201002:0.530553:0.191921:0.525342:0.191921:0.000000
   :@0.533821:0.212435:0.557003:0.212435:0.557003:0.196765:0.533821:0.196765:0.000000:0.000000:0.000000
c)  :@0.557003:0.212435:0.578545:0.212435:0.578545:0.195299:0.557003:0.195299:0.000000:0.000000:0.000000:0.000000
+:@0.627433:0.210598:0.637550:0.210598:0.637550:0.195025:0.627433:0.195025:0.000000
x:@0.609006:0.209920:0.616469:0.209920:0.616469:0.193559:0.609006:0.193559:0.000000
512:@0.581162:0.209920:0.607734:0.209920:0.607734:0.194250:0.581162:0.194250:0.000000:0.000000:0.000000
1:@0.639172:0.209920:0.648164:0.209920:0.648164:0.194250:0.639172:0.194250:0.000000
3:@0.618116:0.202259:0.623327:0.202259:0.623327:0.193178:0.618116:0.193178:0.000000
 :@0.648898:0.212435:0.652934:0.212435:0.652934:0.196765:0.648898:0.196765:0.000000
d):@0.673573:0.212435:0.690342:0.212435:0.690342:0.195299:0.673573:0.195299:0.000000:0.000000
  :@0.690342:0.212435:0.698413:0.212435:0.698413:0.196765:0.690342:0.196765:0.000000:0.000000
−:@0.725745:0.210598:0.735862:0.210598:0.735862:0.195025:0.725745:0.195025:0.000000
a:@0.706433:0.209920:0.715702:0.209920:0.715702:0.193559:0.706433:0.193559:0.000000
100:@0.737262:0.209920:0.763835:0.209920:0.763835:0.194250:0.737262:0.194250:0.000000:0.000000:0.000000
2:@0.716270:0.202259:0.721481:0.202259:0.721481:0.193178:0.716270:0.193178:0.000000
 :@0.772129:0.212435:0.776165:0.212435:0.776165:0.196765:0.772129:0.196765:0.000000
e)  :@0.794187:0.212435:0.817148:0.212435:0.817148:0.195299:0.794187:0.195299:0.000000:0.000000:0.000000:0.000000
+:@0.849771:0.210598:0.859888:0.210598:0.859888:0.195025:0.849771:0.195025:0.000000
a:@0.830404:0.209920:0.839673:0.209920:0.839673:0.193559:0.830404:0.193559:0.000000
b:@0.877523:0.209920:0.886792:0.209920:0.886792:0.193559:0.877523:0.193559:0.000000
4:@0.820508:0.209920:0.829501:0.209920:0.829501:0.194250:0.820508:0.194250:0.000000
81:@0.862652:0.209920:0.880435:0.209920:0.880435:0.194250:0.862652:0.194250:0.000000:0.000000
2:@0.840242:0.202259:0.845454:0.202259:0.845454:0.193178:0.840242:0.193178:0.000000
2:@0.887361:0.202259:0.892573:0.202259:0.892573:0.193178:0.887361:0.193178:0.000000
Desequilibrio cognitivo:@0.344931:0.139759:0.522686:0.139759:0.522686:0.122858:0.344931:0.122858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 704186575.:@0.092212:0.380225:0.092212:0.304947:0.080824:0.304947:0.080824:0.380225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 556931986.:@0.092212:0.881979:0.092212:0.806700:0.080824:0.806700:0.080824:0.881979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.1. :@0.096359:0.937657:0.138411:0.937657:0.138411:0.926902:0.096359:0.926902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas de los números reales en la resolución de productos notables y en la factorización de expresiones algebraicas.:@0.138411:0.937657:0.815256:0.937657:0.815256:0.927685:0.138411:0.927685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b y d:@0.312904:0.226175:0.336052:0.226175:0.336052:0.216203:0.312904:0.216203:0.000000:0.000000:0.000000:0.000000:0.000000